00:01
Okay, so we're asked to graph the inequality 5x is greater than negative y plus 3.
00:05
So because this inequality is not written in the slope intercept form that we're used to, y equals mx plus b, i'm going to rewrite it and switch some of these terms around so that they're in this form.
00:17
Right now we're just going to ignore the inequality sign.
00:20
We're going to pretend like it's an equal sign.
00:21
We'll come back to it a little bit later.
00:23
So i need this negative y, first of all, be positive, and i also need it to be on one side alone.
00:30
Alone of the inequality sign of the equal sign.
00:33
We'll just pretend like it's an equal sign.
00:35
So i'm going to do some moving of terms around.
00:38
I can add y to both sides.
00:42
These cancel out.
00:44
Of course, i can't add y and 5x together.
00:46
So i'll just write them separately, y plus 5x greater than 3.
00:51
And then i want to get that 5x to go on the other side.
00:54
So i'm going to subtract 5x from both sides.
00:59
These cancel out.
01:00
Moving just a y by itself.
01:03
Of course i can't combine 3 minus 5x.
01:06
So i'm going to write minus 5x plus 3.
01:08
I write it in that order so that it looks a lot like my mx plus b form.
01:13
So if we look at the different numbers in our inequality, we have the plus b off to the side.
01:18
That's our whole number, our constant.
01:20
That's plus 3.
01:21
So that means my y intercept is going to be 3.
01:24
On my graph, i'm going to plot a 3 on the y axis.
01:29
And then i have my m viz.
01:31
And that's negative 5.
01:33
So i'm going to start from that positive 3 that i just plotted.
01:37
And i can do a shortcut.
01:38
I can go down 5 since my slope is rise over run.
01:42
Negative 5 is my rise.
01:45
And then there's an invisible one underneath all of our whole numbers.
01:49
And that's going to be like my run.
01:50
So i can go down 5 since it's a negative one down.
01:54
And i can go run 1 or run to the right positive 1.
01:58
So let's count down 1, 2, 3, 4.
02:01
Four, five, and over one...